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Simplifying (x + 12)(x + 12) = 0 + -144 Reorder the terms: (12 + x)(x + 12) = 0 + -144 Reorder the terms: (12 + x)(12 + x) = 0 + -144 Multiply (12 + x) * (12 + x) (12(12 + x) + x(12 + x)) = 0 + -144 ((12 * 12 + x * 12) + x(12 + x)) = 0 + -144 ((144 + 12x) + x(12 + x)) = 0 + -144 (144 + 12x + (12 * x + x * x)) = 0 + -144 (144 + 12x + (12x + x2)) = 0 + -144 Combine like terms: 12x + 12x = 24x (144 + 24x + x2) = 0 + -144 Combine like terms: 0 + -144 = -144 144 + 24x + x2 = -144 Solving 144 + 24x + x2 = -144 Solving for variable 'x'. Reorder the terms: 144 + 144 + 24x + x2 = -144 + 144 Combine like terms: 144 + 144 = 288 288 + 24x + x2 = -144 + 144 Combine like terms: -144 + 144 = 0 288 + 24x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-288' to each side of the equation. 288 + 24x + -288 + x2 = 0 + -288 Reorder the terms: 288 + -288 + 24x + x2 = 0 + -288 Combine like terms: 288 + -288 = 0 0 + 24x + x2 = 0 + -288 24x + x2 = 0 + -288 Combine like terms: 0 + -288 = -288 24x + x2 = -288 The x term is 24x. Take half its coefficient (12). Square it (144) and add it to both sides. Add '144' to each side of the equation. 24x + 144 + x2 = -288 + 144 Reorder the terms: 144 + 24x + x2 = -288 + 144 Combine like terms: -288 + 144 = -144 144 + 24x + x2 = -144 Factor a perfect square on the left side: (x + 12)(x + 12) = -144 Can't calculate square root of the right side. The solution to this equation could not be determined.
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